Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Pieropan, Marta"'
Autor:
Pieropan, Marta, Schindler, Damaris
We combine the split torsor method and the hyperbola method for toric varieties to count rational points and Campana points of bounded height on certain subvarieties of toric varieties.
Comment: 22 pages
Comment: 22 pages
Externí odkaz:
http://arxiv.org/abs/2403.19397
In this expository article, we compare Malle's conjecture on counting number fields of bounded discriminant with recent conjectures of Ellenberg--Satriano--Zureick-Brown and Darda--Yasuda on counting points of bounded height on classifying stacks. We
Externí odkaz:
http://arxiv.org/abs/2402.10355
Autor:
Balestrieri, Francesca, Brandes, Julia, Kaesberg, Miriam, Ortmann, Judith, Pieropan, Marta, Winter, Rosa
We construct an integral model for counting Campana points of bounded height on diagonal hypersurfaces of degree greater than one, and give an asymptotic formula for their number, generalising work by Browning and Yamagishi. The paper also includes b
Externí odkaz:
http://arxiv.org/abs/2302.08164
Autor:
Pieropan, Marta, Schindler, Damaris
We develop a very general version of the hyperbola method which extends the known method by Blomer and Br\"udern for products of projective spaces to complete smooth split toric varieties. We use it to count Campana points of bounded log-anticanonica
Externí odkaz:
http://arxiv.org/abs/2001.09815
We initiate a systematic quantitative study of subsets of rational points that are integral with respect to a weighted boundary divisor on Fano orbifolds. We call the points in these sets Campana points. Earlier work of Campana and subsequently Abram
Externí odkaz:
http://arxiv.org/abs/1908.10263
Autor:
Derenthal, Ulrich, Pieropan, Marta
We introduce the split torsor method to count rational points of bounded height on Fano varieties. As an application, we prove Manin's conjecture for all nonsplit quartic del Pezzo surfaces of type $\mathbf A_3+\mathbf A_1$ over arbitrary number fiel
Externí odkaz:
http://arxiv.org/abs/1907.09431
Autor:
Pieropan, Marta
We use birational geometry to show that the existence of rational points on proper rationally connected varieties over fields of characteristic $0$ is a consequence of the existence of rational points on terminal Fano varieties. We discuss several co
Externí odkaz:
http://arxiv.org/abs/1905.02227
Autor:
Pieropan, Marta
We introduce a notion of strict complete intersections with respect to Cox rings and we prove Galois descent for this new notion.
Comment: 8 pages; minor revision
Comment: 8 pages; minor revision
Externí odkaz:
http://arxiv.org/abs/1905.00227
Autor:
Pieropan, Marta
Inspired by a paper of Salberger we give a new proof of Manin's conjecture for toric varieties over imaginary quadratic number fields by means of universal torsor parameterizations and elementary lattice point counting.
Comment: 23 pages, minor
Comment: 23 pages, minor
Externí odkaz:
http://arxiv.org/abs/1505.05789
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